Reduction and efficient solution of MILP models of mixed Hamming packings yielding improved upper bounds

Péter Naszvadi; Mátyás Koniorczyk

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arXiv · 2310.01883

Reduction and efficient solution of MILP models of mixed Hamming packings yielding improved upper bounds

Péter Naszvadi·Mátyás Koniorczyk

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Abstract

Mixed Hamming packings are considered: the maximal cardinality given a minimum codeword Hamming distance of mixed codes is addressed via mixed integer programming models. Adopting the concept of contact graph from classical continuous sphere packing problems, a reduction technique for the models is introduced, which enables their efficient solution. Several best known upper bounds are improved and some of them are found to be sharp.

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Péter Naszvadi, Mátyás Koniorczyk. 2023-10-03. Reduction and efficient solution of MILP models of mixed Hamming packings yielding improved upper bounds. https://arxiv.org/abs/2310.01883

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